SajaA50728 SajaA50728
  • 22-10-2020
  • Mathematics
contestada

Is x^2+8x+16 a perfect square

Respuesta :

Elmatoas Elmatoas
  • 22-10-2020

Answer:

YES IT IS A PERFECT SQUARE

Step-by-step explanation:

equate the equation to zero

x^2+8x+16=0

c is the product while the coefficient of b is the sum

P=16

S=8

find a pair of numbers that the product is 16 and the sum is 8

the numbers are (4,4)

(x^2+4x) (4X+16)

ignore 8x and arrange as shown above

then bracket the equation

x(x+4)+4(x+4)

you simplify and remain with (x+4) (x+4)

having similar roots making it a perfect square

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